2 papers
math.NA2024
Strong Approximation of Stochastic Semiclassical Schroedinger Equation with Multiplicative Noise
Lihai Ji, Zhihui Liu
We consider the stochastic nonlinear Schroedinger equation driven by a multiplicative noise in a semiclassical regime, where the Plank constant is small. In this regime, the soluti…
math.NA2024
Numerical Ergodicity of Stochastic Allen--Cahn Equation driven by Multiplicative White Noise
Zhihui Liu
We establish the unique ergodicity of a fully discrete scheme for monotone SPDEs with polynomial growth drift and bounded diffusion coefficients driven by multiplicative white nois…